Mathematics Past Questions

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2296

A square of cardboard is taped at the perimeter by a piece of ribbon 20cm long. What is the area of the board?

A. 20sq.cm
B. 100sq.cm
C. 25sq.cm
D. 16sq.cm
E. 36sq.cm

View Answer & Discuss (4) JAMB 1979

2297

Rationalize the denominator of the expression \(\frac{6 + 2\sqrt{5}}{4 - 3\sqrt{6}}\)

A. \(\frac{12+ 4\sqrt{5 + 7} 5 + 6\sqrt{3}}{39}\)
B. \(\frac{-(24 + 18\sqrt{6} + 8\sqrt{5} + 6\sqrt{30})}{38}\)
C. \(\frac{24 + 3\sqrt{6 + 8} 5 + 6\sqrt{30}}{19}\)
D. \(\frac{-15 + 3\sqrt{5 + 18} 5 + 6\sqrt{30}}{36}\)
E. \(\frac{-(12 + 4\sqrt{5} +9\sqrt{6} + 3\sqrt{30})}{19}\)

View Answer & Discuss (8) JAMB 1979

2298

Simplify \(\frac{5^x \times 25^{x - 1}}{125^{x + 1}}\)

A. 5^{2x + 1}
B. 5^{x + 1}
C. 5^-5
D. 5²
E. 5³

View Answer & Discuss (2) JAMB 1979

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2299

A steel ball of radius 1 cm is dropped into a cylinder of radius 2cm and height 4cm. If the cylinder is now filled with water, what is the volume of the water in the cylinder?

A. \(\frac{44}{3}\)\(\pi\)cm³
B. 12\(\pi\)cm³
C. \(\frac{38}{3}\)\(\pi\)cm³
D. \(\frac{40}{3}\)\(\pi\)cm³
E. \(\frac{32}{33}\)\(\pi\)cm³

View Answer & Discuss (2) JAMB 1979

2300

Simplify \(\frac{x^2 + y^2 + xy}{x + y}\) - \(\frac{x^2 + y^2}{x - y}\)

A. \(\frac{x^2 + y^2} {(x - y)^2}\)
B. \(\frac{2y^3} {y^2 - x^2}\)
C. \(\frac{3x^2 + y^2} {(2x - y)^2}\)
D. \(\frac{x^2 + y^2} {(x^2 - y)}\)

View Answer & Discuss (2) JAMB 1979

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